Okay, here we have this:
Considering the provided region, we are going to sketch it and find the requested area, so we obtain the following:
So initially when sketching we get:
Now we proceed to find the area:
Then we will substitute in the formula for the area of a rectangle:
Area=Base*Height
Area=(6-0)*(6-2)
Area=6*4
Area=24 square units.
Finally we obtain that the area of the region enclosed by the lines x = 0, x = 6, y = 2, and y = 6 is equal to 24 square units.
